A study of design velocity field computation for shape optimal design
Design velocity field computation is an important step in computing shape design sensitivity coefficients and updating a finite element mesh in the shape design optimization process. Applying an inappropriate design velocity field for shape design sensitivity analysis and optimization will yield ina...
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Veröffentlicht in: | Finite elements in analysis and design 1994, Vol.15 (4), p.317-341 |
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description | Design velocity field computation is an important step in computing shape design sensitivity coefficients and updating a finite element mesh in the shape design optimization process. Applying an inappropriate design velocity field for shape design sensitivity analysis and optimization will yield inaccurate sensitivity results or a distorted finite element mesh, and thus fail in achieving an optimal solution. In this paper, theoretical regularity and practical requirements of the design velocity field are discussed. The crucial step of using the design velocity field to update the finite element mesh in the design optimization process is emphasized. Available design velocity field computation methods in the literature are summarized and their applicability for shape design sensitivity analysis and optimization is discussed. Five examples are employed to discuss applicability of these methods. It was found that a combination of isoparametric mapping and boundary displacement methods is ideal for the design velocity field computation. |
doi_str_mv | 10.1016/0168-874X(94)90025-6 |
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Applying an inappropriate design velocity field for shape design sensitivity analysis and optimization will yield inaccurate sensitivity results or a distorted finite element mesh, and thus fail in achieving an optimal solution. In this paper, theoretical regularity and practical requirements of the design velocity field are discussed. The crucial step of using the design velocity field to update the finite element mesh in the design optimization process is emphasized. Available design velocity field computation methods in the literature are summarized and their applicability for shape design sensitivity analysis and optimization is discussed. Five examples are employed to discuss applicability of these methods. 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Applying an inappropriate design velocity field for shape design sensitivity analysis and optimization will yield inaccurate sensitivity results or a distorted finite element mesh, and thus fail in achieving an optimal solution. In this paper, theoretical regularity and practical requirements of the design velocity field are discussed. The crucial step of using the design velocity field to update the finite element mesh in the design optimization process is emphasized. Available design velocity field computation methods in the literature are summarized and their applicability for shape design sensitivity analysis and optimization is discussed. Five examples are employed to discuss applicability of these methods. It was found that a combination of isoparametric mapping and boundary displacement methods is ideal for the design velocity field computation.</description><subject>Exact sciences and technology</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Static elasticity</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><issn>0168-874X</issn><issn>1872-6925</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1994</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LwzAYx4MoOKffwEMOInqopmmSNhdhjPkCAy8K3kKaPtFI19QkHezb27mxo4eH5_L7Py8_hC5zcpeTXNyPVWVVyT5uJLuVhFCeiSM0yauSZkJSfowmB-QUncX4TQjhVLAJWsxwTEOzwd7iBqL77PAaWm9c2mDroG2w8at-SDo532HrA45fugfs--RWut1nztGJ1W2Ei32fovfHxdv8OVu-Pr3MZ8vMFIynrJZUALMmt4bYsq6pJjlhVEhtam0pGEOASF5IWnIBGmpSSG5IrRveEF7nxRRd7-b2wf8MEJNauWigbXUHfoiKCl5KWrERZDvQBB9jAKv6MN4bNionautMbYWorRAlmfpzpsQYu9rP19Ho1gbdGRcP2fEaMZobsYcdBuOvawdBReOgM9C4ACapxrv_9_wCE1-A6g</recordid><startdate>1994</startdate><enddate>1994</enddate><creator>Choi, Kyung K.</creator><creator>Chang, Kuang-Hua</creator><general>Elsevier B.V</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>1994</creationdate><title>A study of design velocity field computation for shape optimal design</title><author>Choi, Kyung K. ; Chang, Kuang-Hua</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c345t-b926e4fc1fc0f7bb2a0104269acbaf2ecc0e095392756eaeb0395c0bad5d05b13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1994</creationdate><topic>Exact sciences and technology</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Static elasticity</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Choi, Kyung K.</creatorcontrib><creatorcontrib>Chang, Kuang-Hua</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Finite elements in analysis and design</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Choi, Kyung K.</au><au>Chang, Kuang-Hua</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A study of design velocity field computation for shape optimal design</atitle><jtitle>Finite elements in analysis and design</jtitle><date>1994</date><risdate>1994</risdate><volume>15</volume><issue>4</issue><spage>317</spage><epage>341</epage><pages>317-341</pages><issn>0168-874X</issn><eissn>1872-6925</eissn><coden>FEADEU</coden><abstract>Design velocity field computation is an important step in computing shape design sensitivity coefficients and updating a finite element mesh in the shape design optimization process. 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subjects | Exact sciences and technology Fundamental areas of phenomenology (including applications) Physics Solid mechanics Static elasticity Static elasticity (thermoelasticity...) Structural and continuum mechanics |
title | A study of design velocity field computation for shape optimal design |
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